Abstract
A digraph D of order n is r-hypohamiltonian (respectively r-hypotraceable) for some positive integer r 1. In this paper we present infinitely many 2-hypohamiltonian oriented graphs and use these to construct infinitely many 2-hypotraceable oriented graphs. We also discuss an interesting connection between the existence of r-hypotraceable oriented graphs and the Path Partition Conjecture for oriented graphs.
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